3442400312 has 128 divisors (see below), whose sum is σ = 7621387200. Its totient is φ = 1443225600.

The previous prime is 3442400287. The next prime is 3442400327. The reversal of 3442400312 is 2130042443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6362762 + ... + 6363302.

Almost surely, 2^3442400312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3442400312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810693600).

3442400312 is an abundant number, since it is smaller than the sum of its proper divisors (4178986888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3442400312 is a wasteful number, since it uses less digits than its factorization.

3442400312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 3442400312 is about 58671.9721161646. The cubic root of 3442400312 is about 1509.9194892968.

Adding to 3442400312 its reverse (2130042443), we get a palindrome (5572442755).

The spelling of 3442400312 in words is "three billion, four hundred forty-two million, four hundred thousand, three hundred twelve".